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Finding the Fourth Proportional to 343.91, 474.56 and 194.54

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Solution

The fourth proportional to 343.91, 474.56 and 194.54 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.91 : 474.56 = 194.54 : x
  2. Step 2: Convert to fraction form
    343.91/474.56 = 194.54/x
  3. Step 3: Cross multiply
    343.91x = 474.56 × 194.54
  4. Step 4: Simplify right side
    343.91x = 92,317.56
  5. Step 5: Solve for x
    x = 92,317.56/343.91
  6. Step 6: Final answer
    x = 268.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.